Answer:
<h2>x = -0.2</h2>
Step-by-step explanation:
![-1(x+5)=3[x+2x-1)]\\\\\text{for}\ -1(x+5):\ \text{distribtutive property}\\\text{for}\ [x+(2x-1)]:\ \text{associative property}\\\\(-1)(x)+(-1)(5)=3[(x+2x)-1]\\-x-5=3(3x-1)\\\\\text{for}\ 3(3x-1):\ \text{distributive property}\\\\-x-5=(3)(3x)+(3)(-1)\\-x-5=9x-3\\\\\text{for the equation}:\ \text{addition property of equality}\\\\-x-5=9x-3\qquad\text{add 5 to both sides}\\-x-5+5=9x-3+5\\-x=9x+2\\\\\text{for the equation:}\ \text{subtraction property of equality}\\\\-x=9x+2\qquad\text{subtract}\ 9x\ \text{from both sides}](https://tex.z-dn.net/?f=-1%28x%2B5%29%3D3%5Bx%2B2x-1%29%5D%5C%5C%5C%5C%5Ctext%7Bfor%7D%5C%20-1%28x%2B5%29%3A%5C%20%5Ctext%7Bdistribtutive%20property%7D%5C%5C%5Ctext%7Bfor%7D%5C%20%5Bx%2B%282x-1%29%5D%3A%5C%20%5Ctext%7Bassociative%20property%7D%5C%5C%5C%5C%28-1%29%28x%29%2B%28-1%29%285%29%3D3%5B%28x%2B2x%29-1%5D%5C%5C-x-5%3D3%283x-1%29%5C%5C%5C%5C%5Ctext%7Bfor%7D%5C%203%283x-1%29%3A%5C%20%5Ctext%7Bdistributive%20property%7D%5C%5C%5C%5C-x-5%3D%283%29%283x%29%2B%283%29%28-1%29%5C%5C-x-5%3D9x-3%5C%5C%5C%5C%5Ctext%7Bfor%20the%20equation%7D%3A%5C%20%5Ctext%7Baddition%20property%20of%20equality%7D%5C%5C%5C%5C-x-5%3D9x-3%5Cqquad%5Ctext%7Badd%205%20to%20both%20sides%7D%5C%5C-x-5%2B5%3D9x-3%2B5%5C%5C-x%3D9x%2B2%5C%5C%5C%5C%5Ctext%7Bfor%20the%20equation%3A%7D%5C%20%5Ctext%7Bsubtraction%20property%20of%20equality%7D%5C%5C%5C%5C-x%3D9x%2B2%5Cqquad%5Ctext%7Bsubtract%7D%5C%209x%5C%20%5Ctext%7Bfrom%20both%20sides%7D)
Answer:
Increasing
−5<x<−1
−1<x<1
Decreasing
4<x<7
−8<x<−5
Neither Increasing nor Decreasing
1<x<4
Step-by-step explanation:
Answer:
y = 3/4x + 19
Explanation:
First we need to write the equation in the form y=mx+c:
3x-4y=6
-4y=-3x+6
y=3/4x-3/2
Because the lines are parallel, we can deduce that the gradients (m) are equal. That means that the gradient of our new equation will also be 3/4.
We will now use the following equation:
y - y1 = m(x - x1)
We will substitute in the new line’s gradient as well as the coordinates we were given:
y - 10 = 3/4(x + 12)
Now we solve this equation into the form y=mx+c:
y - 10 = 3/4x + 9
y = 3/4x + 19
Answer:
So
Domain: (-∞,∞)
Range: [
∞)
Step-by-step explanation:
